Question

Three geometric means between 1 and 256.

Answer 1

Answer:

ANSWER

Let G

1

,G

2

,G

3

be 3

GMS both 1, & 256

then

1,G

1

,G

2

,G

3

, 256 will be in GP

Let common ratio be r

∴G

1

=r

So r

4

=256

r=±4

G

1

=±4

G

2

=±16

G

3

=±64

Answer 2

Answer:

Let G

1

,G

2

,G

3

be 3

GMS both 1, & 256

then

1,G

1

,G

2

,G

3

, 256 will be in GP

Let common ratio be r

∴G

1

=r

So r

4

=256

r=±4

G

1

=±4

G

2

=±16

G

3

=±64